Factual error: The huge piece of retrieved space debris breaks loose in the hold and the astronauts struggle to lift and re-secure it. Only they shouldn't have had to. They're in space with no gravity generator, wearing magnetic boots to hold themselves to the deck. The debris would be weightless, too.
Factual error: When McCauley and Rennish find the body of a previous moon explorer, they play back a message he left on a portable tape recorder. But they shouldn't be able to hear this: there's no atmosphere on the moon to carry the sound waves. Even if there were, their pressurized, self-contained spacesuits would still prevent them from hearing the tape.